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Mathematics 21 Online
OpenStudy (anonymous):

y=(tan^-3x)^2

OpenStudy (anonymous):

What do you want us to do with this function?

OpenStudy (anonymous):

And can you re-type it?

OpenStudy (anonymous):

m sorry the question is y=(tan^-1 3x)^2? find derivative of function

OpenStudy (anonymous):

\[y=[\tan^{-1}(3x)]^2\] Is this the one?

OpenStudy (anonymous):

Have you done derivatives of inverse trigonometric functions?

OpenStudy (anonymous):

yes, but calculus is extremely hard for me..

OpenStudy (anonymous):

So we use the Arctangent rule for derivatives, Power rule, and Chain rule.\[y'=2[\tan^{-1}(3x)]*\frac{ 1 }{ 1+(3x)^2 }*3 \rightarrow y'=\frac{ 6[\tan^{-1}(3x)] }{ 1+9x^2 }\]@engdorj09

OpenStudy (anonymous):

@engdorj09

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